Question

Na imagem acima descubra o valor de x

a) 120°
b) 110°
c) 180°
d) 160°​

Answer 1

Olá! Sabendo que meia volta corresponde à 180º, temos que:

$2x + x + x + 60 = 180\\4x + 60 = 180\\4x = 180-60\\4x = 120\\x = 120/4\\x = 30$

Portanto, x = 30º.

Answer 2

$\large\boxed{\begin{array}{l} \sf \: x + x + 2x + 60 {}^{ \circ} = 180 {}^{ \circ} \\ \\ \sf \: 4x + 60 {}^{ \circ} = 180 {}^{ \circ} \\ \\ \sf \: 4x = 180 {}^{ \circ} - 60 {}^{ \circ} \\ \\ \sf \: 4x = 120 {}^{ \circ} \\ \\ \sf \: x = \dfrac{120 {}^{ \circ} }{4} \\ \\ \boxed{ \boxed{ \sf{x = 30 {}^{ \circ} }}}\end{array}}$